On small energy stabilization in the NLS with a trapping potential
On small energy stabilization in the NLS with a trapping potential
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DOI：
10.2140/apde.2015.8.1289
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发表时间：
2013-09
期刊：
影响因子：
2.2
通讯作者：
S. Cuccagna;Masaya Maeda
中科院分区：
文献类型：
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作者：
S. Cuccagna;Masaya Maeda
我们描述了一类具有捕获势的非线性最小二乘系统小能解的渐近行为。特别地，我们推广了Soffer和Weinstein，以及Tsai et的工作。艾尔新奇之处在于，我们允许与势能相关联的类属光谱。这是将非线性费米黄金规则解释为哈密顿结构的结果的新应用。
We describe the asymptotic behavior of small energy solutions of an NLS with a trapping potential. In particular we generalize work of Soffer and Weinstein, and of Tsai et. al. The novelty is that we allow generic spectra associated to the potential. This is yet a new application of the idea to interpret the nonlinear Fermi Golden Rule as a consequence of the Hamiltonian structure.